from math import atan, cos, radians, sin, tan

from .haversine_distance import haversine_distance

_SCREAMING_SNAKE_CASE     				=		6_378_137.0
_SCREAMING_SNAKE_CASE     				=		6_356_752.314_245
_SCREAMING_SNAKE_CASE     				=		6_378_137






def 					snake_case    (			snake_case__     :str  ,      snake_case__     :Any  ,      snake_case__     :Tuple  ,      snake_case__     :str)		->  float:
       _A	  =    (AXIS_A - AXIS_B) / AXIS_A
       # Parametric latitudes
       # https://en.wikipedia.org/wiki/Latitude#Parametric_(or_reduced)_latitude
       _A	  =    atan((1 - flattening) * tan(radians(a__)))
       _A	  =    atan((1 - flattening) * tan(radians(a__)))

       # Compute central angle between two points
       # using haversine theta. sigma =  haversine_distance / equatorial radius
       _A	  =    haversine_distance(a__  ,      a__  ,      a__  ,      a__) / EQUATORIAL_RADIUS

       # Intermediate P and Q values
       _A	  =    (b_lata + b_lata) / 2
       _A	  =    (b_lata - b_lata) / 2

       # Intermediate X value
       # X = (sigma - sin(sigma)) * sin^2Pcos^2Q / cos^2(sigma/2)
       _A	  =    (sin(a__) ** 2) * (cos(a__) ** 2)
       _A	  =    cos(sigma / 2) ** 2
       _A	  =    (sigma - sin(a__)) * (x_numerator / x_demonimator)

       # Intermediate Y value
       # Y = (sigma + sin(sigma)) * cos^2Psin^2Q / sin^2(sigma/2)
       _A	  =    (cos(a__) ** 2) * (sin(a__) ** 2)
       _A	  =    sin(sigma / 2) ** 2
       _A	  =    (sigma + sin(a__)) * (y_numerator / y_denominator)

       return EQUATORIAL_RADIUS * (sigma - ((flattening / 2) * (x_value + y_value)))


if __name__ == "__main__":
    import doctest

    doctest.testmod()





from __future__ import annotations


def 				lowerCAmelCase__       (			a__    ,     a__ )      ->bool:




  '''simple docstring'''

  _UpperCamelCase           =    get_failure_array(a__ )

  # 2) Step through text searching for pattern
  _UpperCamelCase      ,						_UpperCamelCase           =    0, 0  # index into text, pattern
  while i < len(a__ ):
    if pattern[j] == text[i]:
      if j == (len(a__ ) - 1):
        return True
      j += 1

    # if this is a prefix in our pattern
    # just go back far enough to continue
    elif j > 0:
      _UpperCamelCase           =    failure[j - 1]
      continue
    i += 1
  return False


def 				lowerCAmelCase__       (			a__ )      ->list[int]:




  '''simple docstring'''

  _UpperCamelCase           =    [0]
  _UpperCamelCase           =    0
  _UpperCamelCase           =    1
  while j < len(a__ ):
    if pattern[i] == pattern[j]:
      i += 1
    elif i > 0:
      _UpperCamelCase           =    failure[i - 1]
      continue
    j += 1
    failure.append(a__ )
  return failure


if __name__ == "__main__":
   # Test 1)
   lowerCamelCase__  =					'''abc1abc12'''
   lowerCamelCase__  =					'''alskfjaldsabc1abc1abc12k23adsfabcabc'''
   lowerCamelCase__  =					'''alskfjaldsk23adsfabcabc'''
   assert kmp(pattern, texta) and not kmp(pattern, texta)

   # Test 2)
   lowerCamelCase__  =					'''ABABX'''
   lowerCamelCase__  =					'''ABABZABABYABABX'''
   assert kmp(pattern, text)

   # Test 3)
   lowerCamelCase__  =					'''AAAB'''
   lowerCamelCase__  =					'''ABAAAAAB'''
   assert kmp(pattern, text)

   # Test 4)
   lowerCamelCase__  =					'''abcdabcy'''
   lowerCamelCase__  =					'''abcxabcdabxabcdabcdabcy'''
   assert kmp(pattern, text)

   # Test 5)
   lowerCamelCase__  =					'''aabaabaaa'''
   assert get_failure_array(pattern) == [0, 1, 0, 1, 2, 3, 4, 5, 2]




